I got this question a few years back in an postgrad interview and it had me stumped until the interviewer suggested the trick to it. I solved it again just now on paper and wanted to check my answer. I looked here for it using [calculus] x^x
as the search term but couldn't find it.
Is this the right way to go about searching the site? I've never used the site to search for a mathematical expression so I thought maybe I'm not using the search properly because this is such a well-known problem.
If it really isn't present I'll add it as a question -- it's a classic problem and should be on our site despite having solutions available elsewhere.
calculus derivative "x^x" site:math.stackexchange.com
turns up this (and several irrelevant results). In the "Related" list of that, there's also this question. $\endgroup$